A:
Positive:
1 x 13156131717 x 773890153 x 2482289151 x 871267901 x 146017967 x 1360512567 x 512518003 x 16439
Negative:
-1 x -131561317-17 x -7738901-53 x -2482289-151 x -871267-901 x -146017-967 x -136051-2567 x -51251-8003 x -16439
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 131,561,317, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 131,561,317 | |
| -1 | -131,561,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,561,317.
Example:
1 x 131,561,317 = 131,561,317
and
-1 x -131,561,317 = 131,561,317
Notice both answers equal 131,561,317
With that explanation out of the way, let's continue. Next, we take the number 131,561,317 and divide it by 2:
131,561,317 ÷ 2 = 65,780,658.5
If the quotient is a whole number, then 2 and 65,780,658.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 131,561,317 | |
| -1 | -131,561,317 |
Now, we try dividing 131,561,317 by 3:
131,561,317 ÷ 3 = 43,853,772.3333
If the quotient is a whole number, then 3 and 43,853,772.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 131,561,317 | |
| -1 | -131,561,317 |
Let's try dividing by 4:
131,561,317 ÷ 4 = 32,890,329.25
If the quotient is a whole number, then 4 and 32,890,329.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 131,561,317 | |
| -1 | 131,561,317 |
If you did it right, you will end up with this table:
| 1 | 17 | 53 | 151 | 901 | 967 | 2,567 | 8,003 | 16,439 | 51,251 | 136,051 | 146,017 | 871,267 | 2,482,289 | 7,738,901 | 131,561,317 |
| -1 | -17 | -53 | -151 | -901 | -967 | -2,567 | -8,003 | -16,439 | -51,251 | -136,051 | -146,017 | -871,267 | -2,482,289 | -7,738,901 | -131,561,317 |
Here are some more numbers to try:
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